8. Consider the set A = {2, 3, 4, 5, 6, 7}. a) How many different 4 digit numbers can you make from the elements of A used without repetition? b) How many 4 digit numbers can you make from the elements of A without repetition that would begin with 7? c) How many 4 digit numbers can you make from the elements of A without repetition that would begin with 5 or 7? d) How many 4 digit numbers can you make from the elements of A without repetition contain the digits 3 and 5 adjacent to each other? e) How many 4 digit numbers can you make from the elements of A without repetition that would begin with 7 or end with 4?

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